On the finiteness of Gröbner bases computation in quotients of the free algebra

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate, for quotients of the non-commutative polynomial
ring, a property that implies finiteness of Gröbner bases
computation, and examine its connection with Noetherianity.
We propose a Gröbner bases theory for our factor algebras, of particular interest for
one-sided ideals, and show a few
applications, e.g. how to compute (one-sided) syzygy modules.
Original languageEnglish
Pages (from-to)157-180
JournalApplicable Algebra in Engineering, Communication and Computing
Volume11
Issue number3
DOIs
Publication statusPublished - 2001

Subject classification (UKÄ)

  • Mathematics

Free keywords

  • non-commutative algebras
  • Grobner bases
  • Dickson's lemma
  • Noetherianity
  • syzygies
  • POLYNOMIAL-RINGS

Fingerprint

Dive into the research topics of 'On the finiteness of Gröbner bases computation in quotients of the free algebra'. Together they form a unique fingerprint.

Cite this